WorksheetsTrigonometry Review
Total questions: 35
Worksheet time: 21mins
Which of the following symbol called "theta" in the letter of the Greek alphabet?
α
β
φ
θ
What leg is considered the hypotenuse of a right-triangle?
any side
the side opposite the right angle
the side opposite the shortest leg
the side opposite the smallest angle
What is the ratio of the tangent?
tan θ=opposite/hypotenuse
tan θ=opposite/adjacent
tan θ=adjacent/opposite
tan θ=adjacent/hypotenuse
If a triangle has sides 6, 8, 10. What is the ratio of sin θ, where the opposite side is 6?
3/5
4/5
3/4
2/3
In a given triangle, find the ratio in fraction of Cos Z.
4/5
3/5
3/4
5/3
If a right triangle has a hypotenuse of 11 cm and an adjacent side of 4 cm, what is the measure of angle θ?
36º
45º
69º
78º
In a right triangle, if the hypotenuse is 13 cm and the opposite side is 7 cm, what is the value of θ?
60º
30º
24º
33º
Calculate the value of tan θ = 0.6494.
47º
33º
81º
68º
In △ABC, ∠A=30∘, and the hypotenuse is 10 units. Find the length of the side opposite ∠A.
8 units
6 units
5 units
7 units
If angle A in a right triangle is 50°, what is the tangent of this angle?
0.09
0.77
0.64
1.19
What is the value of 3tan 1.5 + cos 0.5?
1.08
0.13
1.03
0.92
What is the value of sin 30 - 2tan 15 + 5cos 45?
-3.57
3.50
0.17
0.49
A ladder leans against a building, making a 70º angle with the ground. If the base of the ladder is 8 meters away from the building, how long is the ladder?
23.4m
15.3m
10.9m
22.5m
A 15-meter pole casts a shadow of 10 meters. What is the angle of elevation of the sun?
54º
45º
56º
65º
Which one is the easy way to remember trigonometric ratios?
SAH COH TOA
SOH CAH TOA
SOH CAH TAO
SHO CHA TAO
Determine the trigonometric ratio for sine (sin) of angle X in the given right triangle.
15/17
8/15
17/8
15/8
Determine the trigonometric ratio for tangent (tan) of angle X in the given right triangle.
3/4
3/5
4/3
4/5
When angles are measured in degrees, we must make sure that the calculator is set to the _______ Mode before making any computations.
RADIAN
SHIFT
DEGREE
ALPHA
Calculate the value of the cosine (cos) 11°, rounded to 3 significant figures.
0.9816
0.98
0.982
0.9
Calculate the value of the tangent (tan) 54°, rounded to 3 significant figures.
1.38
1.376
1.37
1.3
These constant ratios Opp/Hyp, Adj/Hyp and Opp/Adj are called _________.
Pythagorean Theorem
Trigonometric ratios
Adjacent side
Opposite side
Find side AB.
20 m
5 m
11.5 m
8.7 m
Choose the correct ratio.
Cos (33)= x/14
Sin (33)= x/14
Cos (33)= 14/x
Sin (33)= 14/x
What is the correct equation to solve for x?
tan (46) = 17/x
sin (46) = x/17
tan (46) = x/17
cos (46) = x/17
Solve for the missing angle.
50.5 degrees
12.7 degrees
36.9 degrees
72.2 degrees
Find the measure of the indicated angle (?) round to the nearest tenth.
9.4º
55.2º
20.15º
19.4º
A yacht is anchored 90 feet offshore from the base of a lighthouse. The angle of elevation from the boat to the top of the lighthouse is 26 degrees. The distance between the yacht and the top of the lighthouse is about 100 feet. Which of these is nearest to the height of the lighthouse?
185 feet
44 feet
39 feet
81 feet
A hawk sitting on a tree branch spots a mouse on the ground 15 feet from the base of the tree. The hawk swoops down toward the mouse at an angle of 30 degrees. What is the distance from the tree branch to the mouse?
7.5 ft
15 ft
26 ft
30 ft
Susan is flying a kite, which gets caught in the top of a tree. Use the diagram to estimate the height of the tree.
63.6 ft
1.59 ft
74.2 ft
86.9 ft
cos44.1°
Round to the nearest hundredths (2 decimal places).
(a)
tan48° + cos1°
Round to the nearest hundredths (2 decimal places).
(a)
Round to the nearest hundredths (2 decimal places).
(a)
Find angle θ . sin θ = 0.8746
Round into whole number.
(a)
Solve for θ into whole number.
cos θ = 0.6820
(a)
tan A = 2.0503
Solve for A into whole number.
(a)
